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What is the simplified form of (\frac{(x^{4}-16)}{(x^{2}-4)}), where (x\neq2) and (x\neq-2)?(\frac{(x^{4}-16)}{(x^{2}-4)}) का सरल रूप क्या है, जहाँ (x\neq2) और (x\neq-2)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x^{2}+4)(x^{2}+4)
Since (x^{4}-16=(x^{2}-4)(x^{2}+4)), cancelling the common factor leaves (x^{2}+4). In exams, recognize the difference of squares.(x^{4}-16=(x^{2}-4)(x^{2}+4)), इसलिए समान गुणनखंड कटने पर (x^{2}+4) बचता है। परीक्षा में वर्गों के अंतर को पहचानें।
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